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Gmatprep inequality..

by abhi332 » Wed Mar 03, 2010 11:16 pm
If y > = 0, what is the value of x?
1. |x - 3| >= y
2. |x - 3| <= - y
Last edited by abhi332 on Thu Mar 04, 2010 12:58 am, edited 1 time in total.
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by sunil_snath » Thu Mar 04, 2010 12:28 am
Hi Abhi,

I think there is something wrong with this question. If y>0 then |x-3| can NEVER be less than -Y.

|x-3| is always positive so I think the Q should be y<0.

Also, I think this question has been discussed before in BTG.
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by ajith » Thu Mar 04, 2010 12:29 am
abhi332 wrote:If y > 0, what is the value of x?
1. |x - 3| > y
2. |x - 3| < - y
1. |x - 3| > y is not clearly sufficient to find one value for x since there are multiple values of x for which this can be true
2. |x - 3| is positive or zero; -y is always negative since y>0 so there is no way |x - 3| < - y holds true
not even when x=3 and y is any positive number

I think the question is flawed. Given the conditions I will go for E

Had the question been

If y >= 0, what is the value of x?
1. |x - 3| > y
2. |x - 3| <= - y

B would have been the answer!
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by abhi332 » Thu Mar 04, 2010 12:59 am
corrected

OA:B
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by Stuart@KaplanGMAT » Thu Mar 04, 2010 2:18 pm
abhi332 wrote:If y > = 0, what is the value of x?
1. |x - 3| >= y
2. |x - 3| <= - y
With the change, (2) is sufficient.

As noted, |x-3| > = 0

So, since y >=0, if |x-3| <= -y, then the only possibility is:

|x - 3| = 0

Which means that x = 3.
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